Indecomposable objects of Rep_(GLt) in terms of exterior powers of the tautological object and its dual
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2020.03.023
Abstract: Abstract The purpose of this short note is to understand the split Grothendieck ring of the Deligne category Rep _ ( G L t ) . We give a formula for the class of an… read more here.
Keywords: terms exterior; tautological object; object dual; indecomposable objects ... See more keywords
Semisimplicity and Indecomposable Objects in Interpolating Partition Categories
Sign Up to like & getrecommendations! Published in 2021 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnab217
Abstract: We study Karoubian tensor categories, which interpolate representation categories of families of the so-called easy quantum groups in the same sense in which Deligne’s interpolation categories $\ensuremath {\mathop {\textrm {\underline {Rep}}}}(S_t)$ interpolate the representation categories… read more here.
Keywords: partition categories; objects interpolating; interpolating partition; partition ... See more keywords